613504 has 16 divisors (see below), whose sum is σ = 1222470. Its totient is φ = 306688.

The previous prime is 613499. The next prime is 613507. The reversal of 613504 is 405316.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 193600 = 648^2 + 440^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is not an unprimeable number, because it can be changed into a prime (613507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2269 + ... + 2524.

2⁶¹³⁵⁰⁴ is an apocalyptic number.

613504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

613504 is a deficient number, since it is larger than the sum of its proper divisors (608966).

613504 is an equidigital number, since it uses as much as digits as its factorization.

613504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4807 (or 4795 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 613504 is about 783.2649615552. The cubic root of 613504 is about 84.9713398185.

The spelling of 613504 in words is "six hundred thirteen thousand, five hundred four".